Valued-field version of Peterzil's conjecture

Let MM be a strongly minimal structure that is not locally modular and is interpretable in an algebraically closed valued field.

Valued-field version of Peterzil's conjecture. Then MM interprets a field.

This is the valued-field analogue of Peterzil's question about whether Zilber's conjecture holds for strongly minimal structures interpretable in o-minimal structures. The source describes Peterzil's original question as still open and studies this direct valued-field translation.

Sources & referencesView supporting material

Primary source

Piotr Kowalski and Serge Randriambololona, “Strongly minimal reducts of valued fields”, arXiv:1408.3298 (2015).

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